Giuseppina Vannella

Giuseppina Vannella is an Associate Professor at the Department of Mechanics, Mathematics & Management, Polytechnic University of Bari, Italy. Her research focuses on mathematical analysis of quasilinear elliptic systems, p-Laplacian operators, and critical point theory using Morse theory.

• Field of Study: Mathematical Analysis (MAT/05)
• Contact: giuseppina.vannella@poliba.it

Her research investigates the existence, multiplicity, and qualitative properties of solutions to nonlinear partial differential equations, particularly involving critical exponents and resonance problems. She employs advanced variational methods and Morse theory to analyze these systems.

Recent work trends (2007–2024) emphasize applications of Morse theory to p-Laplacian and quasilinear elliptic systems, including critical growth problems, regularity of solutions, and minimax theorems in Banach spaces. Keywords across publications include Partial Differential Equations, Nonlinear Analysis, and Geometric PDEs.